List of practice Questions

For the function f(x)= ecosx , Rolle’s theorem is
 If x2+y2=4, then ydydx+x=
For the real parameter t, the locus of the complex number z=(1−t2)+i1+t2
If x+1x=2cos⁡θ, then for any integer n,xn+1xn=
Feeling of weightlessness in a satellite or spaceship is due to
Two lead balls of masses m and 5m having radii R and 2R are separated by 12R, If they attract.each other by gravitational force, the distance covered by small sphere before they touch each other is
Pratyush took sulphur powder on a spatula and heated it. He collected the gas evolved by inverting a test tube over it, as shown in figure below.
  1. What will be the action of gas on 
    (i) dry litmus paper? 
    (ii) moist litmus paper?
  2. Write a balanced chemical equation for the reaction taking place.
    An experiments with sulphur powder on a spatula and heated
If l, m, and n are real numbers such that \(l + m = 10lm, m + n = 12mn\), and \(n + l = 4nl\), then find the value of \(\frac{180lmn}{lm+mn+nl}\).
Which of the following films has been adjudged as the Best Feature Film for the year in the 69th National Film Awards in New Delhi?
In october 2023, which of the following villages awarded the title of “Best Tourism Village of India 2023” by the Union Ministry of Tourism?
Which of the following state governments is associated with the ‘Mukhyamantri Gramin Awas NYAY Yojana’?
Who among the following Bollywood actresses was appointed as brand ambassador of Japanese apparel retailer Uniqlo?
In October 2023, who among thee following appointed as the Chairman of the Association of Mutual Funds in India (AMFI)?
Which of the following countries won the gold medal in equestrian in Asian Games 2023
The International Day for the Total Elimination of Nuclear Weapons is observed every year on_______.
Who won the Nobel Prize in Chemistry in 2023?
Which gulf divides the Kathiawar peninsula to the west from the eastern part of Gujarat state on the east?
What is the currency of Israel?
The concept of Fundamental Duties has been taken from the constitution of which country?
Tan Kim Her belongs to which country who has been appointed as India's doubles coach in badminton till the Asian Games in 2026?
The pardoning power of President ‘Remission’ means __________.
What was the rank of India in the Global Hunger Index 2023?
xAI', an artificial intelligence startup, is launched by_____.
The 9th Parliamentary Speakers’ Summit of G20 countries was held in which place?
Which of the following schemes is related to the finance ministry?